Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 273/37,1195/577
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 273,1195
Greatest Common Factor of Numerators i.e. GCF of 273,1195 is 1 .
LCM of Denominators means LCM of 37,577 as per the given fractions.
LCM of 37,577 is 21349 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 273,1195
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 1195
List of positive integer factors of 1195 that divides 1195 without a remainder.
1,5,239,1195
Greatest Common Factor
We found the factors 273,1195 . The biggest common factor number is the GCF number.
So the greatest common factor 273,1195 is 1.
Lets's calculate LCM of 37,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 21349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21349
Therefore, the GCF of Fractions 273/37,1195/577 is 1/21349
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 37,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,577) x common factors =1 x 1 = 1
LCM(37,577) = ( 37 × 577 ) / 1
LCM(37,577) = 21349 / 1
LCM(37,577) = 21349
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 273/37, 1195/577?
Answer: GCF of Numerators as per given numbers 273/37, 1195/577 is
GCF of Numerators i.e. for 273,1195 is 1
LCM of denominators i.e. for 37,577 is 21349.
Thus, GCF of Fractions is 1/21349.Finally, GCF of Fractions for 273/37, 1195/577 is 1/21349.